{"ID":23673042,"CreatedAt":"2026-09-18T08:32:08.518820066Z","UpdatedAt":"2026-09-18T08:32:08.518820066Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.20806","arxiv_id":"2609.20806","title":"M2-brane matrix models and Fermi gas on affine ABCD quivers","abstract":"We study a new class of M2-brane matrix models associated with affine BC and twisted affine AD quivers. These models exhibit the characteristic $N^{3/2}$ scaling of the free energy in the large $N$ limit. We establish a Fermi gas formalism and demonstrate that their grand canonical sum is given by a Fredholm Pfaffian, which is in parallel with the affine D quiver matrix models. The resulting Fermi gas density matrix shows a rational dependence on the canonical position/momentum operators in addition to the standard hyperbolic dependence. This leads to unconventional sub-leading corrections, which obstruct the Airy function structure in the $1/N$ expansion of the free energy observed in the previously studied M2-brane matrix models.","short_abstract":"We study a new class of M2-brane matrix models associated with affine BC and twisted affine AD quivers. These models exhibit the characteristic $N^{3/2}$ scaling of the free energy in the large $N$ limit. We establish a Fermi gas formalism and demonstrate that their grand canonical sum is given by a Fredholm Pfaffian,...","url_abs":"https://arxiv.org/abs/2609.20806","url_pdf":"https://arxiv.org/pdf/2609.20806v1","authors":"[\"Taro Kimura\",\"Tomoki Nosaka\"]","published":"2026-09-17T17:58:17Z","proceeding":"hep-th","tasks":"[\"hep-th\"]","methods":"[]","has_code":false}